Answer:
0.51
Step-by-step explanation:
Use knowledge of trigonometric ratios to find cos(F).
Remember:
sin(x) = opposite/hypotenuse
cos(x) = adjacent/hypotenuse
tan(x) = opposite/adjacent
In this case, we're dealing with cosine, so let's use the cosine formula.
cos(F) = adjacent/hypotenuse
When you look at the diagram, you can see that the you are only given opposite and hypotenuse, so we still need the length of the adjacent side.
Since this is a right triangle, we can use the Pythagorean Theorem, , to find the length of the adjacent side.
So + 56² = 65².
Solve for a.
+ 3136 = 4225
= 4225 - 3136 = 1089
a = √1089 = 33
Now that we know the length of the adjacent side, we can go back and use the cosine formula.
cos(F) = adjacent/hypotenuse
cos(F) = 33/65 ≈ 0.51
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I would say;
Dear Friends in the community
Because all of those have the same base of 5 you can just solve like a regular algebraic expression.
x + 4 + 8 = 64
x + 12 = 64
Subract 12 from both sides
x = 52
Mean = Sum of all the observations/ Number of observations = (87+46+90+78+89)/5 = 78
Variance = SD^2 ------ SD = Standard deviation
It means that with Variance, square root is never taken.
Therefore,
Variance = Summation of square of differences between observation and the mean divided by the number of observations.
That is,
Variance = {(87-78)^2 + (46-78)^2 + (90-78)^2 + (78-78)^2 + (89-78)^2}/5 = 274
1. solve for X and y using both equations to find the point they cross in
−x − y = −5
y = x + 1
Plug in y into first equation
-x-(x+1)=-5
-x-x-1=-5
-2x-1=-5
+1 both sides
-2x=-4
÷-2 both sides
x=2 solve for y
y=2+1
y=3
(2,3)
2. you can set them equal to each other so 2x+4=3x+1